On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions
This paper concentrates on establishing the existence of multiple weak solutions for a specific type of elliptic equations that involve a Hardy potential and have mixed boundary conditions. The main goal of the study is to establish an existence result of at least three different weak solutions than...
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| Format: | Article |
| Language: | English |
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AIMS Press
2025-03-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.2025251 |
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| _version_ | 1850151306015014912 |
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| author | Khaled Kefi Mohammed M. Al-Shomrani |
| author_facet | Khaled Kefi Mohammed M. Al-Shomrani |
| author_sort | Khaled Kefi |
| collection | DOAJ |
| description | This paper concentrates on establishing the existence of multiple weak solutions for a specific type of elliptic equations that involve a Hardy potential and have mixed boundary conditions. The main goal of the study is to establish an existence result of at least three different weak solutions thanks to variational techniques, Hardy inequality, and a particular theorem called the Bonanno–Marano type three critical points theorem. |
| format | Article |
| id | doaj-art-5e9d5f2a2838467d976d8a01aecdff70 |
| institution | OA Journals |
| issn | 2473-6988 |
| language | English |
| publishDate | 2025-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | AIMS Mathematics |
| spelling | doaj-art-5e9d5f2a2838467d976d8a01aecdff702025-08-20T02:26:19ZengAIMS PressAIMS Mathematics2473-69882025-03-011035444545510.3934/math.2025251On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditionsKhaled Kefi0Mohammed M. Al-Shomrani1Center for Scientific Research and Entrepreneurship, Northern Border University, Arar 73213, Saudi ArabiaDepartment of Mathematics, Faculty of Science, King Abdulaziz University, P. O. Box 80203, Jeddah 21589, Saudi ArabiaThis paper concentrates on establishing the existence of multiple weak solutions for a specific type of elliptic equations that involve a Hardy potential and have mixed boundary conditions. The main goal of the study is to establish an existence result of at least three different weak solutions thanks to variational techniques, Hardy inequality, and a particular theorem called the Bonanno–Marano type three critical points theorem.https://www.aimspress.com/article/doi/10.3934/math.2025251two parameterselliptic equationsmixed boundary conditions$ p(x) $-laplacianhardy term |
| spellingShingle | Khaled Kefi Mohammed M. Al-Shomrani On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions AIMS Mathematics two parameters elliptic equations mixed boundary conditions $ p(x) $-laplacian hardy term |
| title | On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions |
| title_full | On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions |
| title_fullStr | On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions |
| title_full_unstemmed | On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions |
| title_short | On multiple solutions for an elliptic problem involving Leray–Lions operator, Hardy potential and indefinite weight with mixed boundary conditions |
| title_sort | on multiple solutions for an elliptic problem involving leray lions operator hardy potential and indefinite weight with mixed boundary conditions |
| topic | two parameters elliptic equations mixed boundary conditions $ p(x) $-laplacian hardy term |
| url | https://www.aimspress.com/article/doi/10.3934/math.2025251 |
| work_keys_str_mv | AT khaledkefi onmultiplesolutionsforanellipticprobleminvolvingleraylionsoperatorhardypotentialandindefiniteweightwithmixedboundaryconditions AT mohammedmalshomrani onmultiplesolutionsforanellipticprobleminvolvingleraylionsoperatorhardypotentialandindefiniteweightwithmixedboundaryconditions |